Please simplify, 50 points.
(sin Θ - cos Θ) - (sin Θ + cos Θ)^2
1 answer:
Answer:
Using x for Θ:
(sinx - cosx)^2 - (sinx + cosx)^2
= (sin^2 x - 2sinxcosx + cos^2 x) - (sin^2 x + 2sinxcosx + cos^2 x)
= - 2 sinx cosx - 2 sinx cosx
= - 4 sinx cosx
= - 2sin(2x)
Step-by-step explanation:
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